Posted by Ted on .
Hey can you help me find the exact value of x in the equation 5^2x=3^(x+1)? Thanks a lot, this website is cool and helpful!

calculus, again 
Reiny,
take the log of both sides
log(5^2x) = log (3^(x+1))
2xlog5 = (x+1)log3
2xlog5 = xlog3 + log3
2xlog5  xlog3 = log3
x(2log5  log3) = log 3
x = log3/(2log5  log3)
x = .5181489...